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Finding the Fourth Proportional to 729.84, 1,007.28 and 435.24

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Solution

The fourth proportional to 729.84, 1,007.28 and 435.24 is: 600.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.84 : 1,007.28 = 435.24 : x
  2. Step 2: Convert to fraction form
    729.84/1,007.28 = 435.24/x
  3. Step 3: Cross multiply
    729.84x = 1,007.28 × 435.24
  4. Step 4: Simplify right side
    729.84x = 438,408.55
  5. Step 5: Solve for x
    x = 438,408.55/729.84
  6. Step 6: Final answer
    x = 600.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.